# Linear equations in two variables

This is an MCQ-based quiz on Linear equations in two variables.

This includes Unique solutions, Two solutions, and Infinitely many solutions

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The linear equation 3x-11y=10 has:

Unique solution Two solutions Infinitely many solutions No solutions

3x+10 = 0 will has:

Unique solution Two solutions Infinitely many solutions No solutions

The solution of equation x-2y = 4 is:

(0,2) (2,0) (4,0) (1,1)

The graph of linear equation x+2y = 2, cuts the y-axis at:

(2,0) (0,2) (0,1) (1,1)

Any point on line x = y is of the form:

(k, -k) (0, k) (k, 0) (k, k)

Which of the following is the equation of a line parallel to y-axis?

y = 0 x + y = z y = x x = a

The graph of the equation 2x + 3y = 6 cuts the x-axis at the point

(0, 3) (3, 0) (2, 0) (0, 2)

Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.

x – 2y – 10 = 0 2x – y – 10 = 0 2x + y – 10 = 0 x – 2y + 10 = 0

Three consecutive integers add up to 51. The integers are:

16,17,18 15,16,17 17,18,19 18,19,20

The graph of the linear equation 5x + 3y = 10 is a line which meets the x-axis at the point:

(0, 3) (3, 0) (2, 0) (0, 2)

x = 9, y = 4 is a solution of the linear equation:

2x + y = 17 x + y = 17 x + 2y = 17 3x – 2y = 17

The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:

(2, 0) (0, 3) (3, 0) (0, 2)

Solutions of the equation 2x + 5y = 0 is:

3,0 -3,2 0,0 0,4

All linear equations in two variables have ————– .

One solution Infinitely many solutions Three solutions Two solution

The equation of a line parallel to x-axis and 3 units above the origin is

x = -3 x = 3 y = -3 y = 3

If (2, 0) is a solution of the linear equation 2x +3y = k, then the value of k is:

4 6 5 2

The graph of x = 3 is a line:

Parallel to x-axis at a distance of 3 units from the origin Parallel to y-axis at a distance of 3 units from the origin Makes an intercept 3 on x-axis Makes an intercept 3 on y-axis

The equation 2x + 5y = 7 has a unique solution, if x, y are:

Rational numbers

Real numbers

Natural numbers

Positive real numbers

Quiz/Test Summary
Title: Linear equations in two variables
Questions: 18
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